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Finding the Fourth Proportional to 80,014, 119,998.32 and 33,208.96

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Solution

The fourth proportional to 80,014, 119,998.32 and 33,208.96 is: 49,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,014 : 119,998.32 = 33,208.96 : x
  2. Step 2: Convert to fraction form
    80,014/119,998.32 = 33,208.96/x
  3. Step 3: Cross multiply
    80,014x = 119,998.32 × 33,208.96
  4. Step 4: Simplify right side
    80,014x = 3,985,019,408.95
  5. Step 5: Solve for x
    x = 3,985,019,408.95/80,014
  6. Step 6: Final answer
    x = 49,804.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.